Optimale Strategien fuer spezielle Reparatursysteme

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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2000090838
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dc.contributor.advisorProf. Dr. Wolfgang Stadje
dc.creatorBruns, Peter
dc.date.accessioned2010-01-30T14:50:10Z
dc.date.available2010-01-30T14:50:10Z
dc.date.issued2000-09-08T17:37:34Z
dc.date.submitted2000-09-08T17:37:34Z
dc.identifier.urihttps://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2000090838-
dc.description.abstractThe thesis contains 3 repairable systems and 2 replacement systems: First a repairable system is considered with Markovian deterioration and imperfect repair, carried out at fixed times. We look for optimal strategies under certain conditions. Two optimality criteria are considered: expected discounted cost and long-run average cost. Conditions are found under which the optimal policy is a control-limit policy as used by Derman or Ross. We explicitly explain how to derive this optimal policy; numerical examples are given, too. The special case of unbounded cost is also studied. With the first model the state space is numerable but with the second it is not. With the fourth model the system occurs a shock process and is only inspected after such a shock. Models 3 and 5 are replacement systems with Morkovian deterioration and finite state space {0,...,N}. A system in state N is considered to be in a very serious situation. Hence there is the condition, e.g. stipulated by law, that the percentage of all replaced machines in state N in the group of all replaced machines may not be larger than 100 epsilon for a fixed epsilon in [0,1]. We prove that a generalized control limit policy maximizes the expected running time of a machine and we explain explicitly how to derive this optimal policy. Illustrated numerical examples are given.ger
dc.language.isoger
dc.subjectreplacement system
dc.subjectrepairable system
dc.subjectminimal repair
dc.subjectcontrol limit policy
dc.subjectgeneralized control limit policy
dc.subjectdiscounted cost
dc.subjectaverage cost
dc.subjectunbounded cost
dc.subjectexpected running time
dc.subject.ddc510 - Mathematik
dc.titleOptimale Strategien fuer spezielle Reparatursystemeger
dc.title.alternativeOptimal control of special repairable systemseng
dc.typeDissertation oder Habilitation [doctoralThesis]-
thesis.locationOsnabrück-
thesis.institutionUniversität-
thesis.typeDissertation [thesis.doctoral]-
thesis.date1999-08-05T12:00:00Z-
elib.elibid9-
elib.marc.edtfangmeier-
elib.dct.accessRightsa-
elib.dct.created2000-07-20T13:15:33Z-
elib.dct.modified2000-09-08T17:37:34Z-
dc.contributor.refereeProf. Dr. Uwe Jensen
dc.subject.msc93E20eng
dc.subject.msc90B25eng
dc.subject.dnb27 - Mathematikger
vCard.ORGFB6ger
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